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AE-JE Foundation || Quantitative Aptitude || Ratio & Proportion & Mixture & Allegation.

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Question 1

A bag has Rs 11 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio of 4:2:5. Find the number of 50-paise coins.

Question 2

Income ratio of A and B is 5:7 and their expenditure ratio is 3:5. If A saves Rs. 800 & B saves Rs. 300 find their income.

Question 3

A and B have money in the ratio 7 : 4 . If A gives ₹6 to B, the money will be in the ratio of 6 : 5 . What were the initial amounts they had?

Question 4

 A person divided a certain sum between his three sons in the ratio 3 : 4 : 5. Had he divided the sum in the ratio  the son, who got the least share earlier, would have got Rs.1,188 more. The sum (in Rs.) was:

Question 5

A container contains a 35 L mixture containing 20% sulphuric acid. Find the quantity of sulphuric acid to be added to it to make the solution containing 30% sulphuric acid.

Question 6

Two candles of the same length are lighted at the same time. The first is consumed in 7 hours and the second in 6 hours. Assuming that each candle burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candle becomes 3 : 1?

Question 7

The total number of students of 10th class in school A and school B is 120. The number of students in school A is 30 more than that of school B. The average score of the students in school B, in an exam, is 22.22% less than that of students in A. If average score of all the students of class 10th of school A and B is 66, then what is the average score of the students of class 10th in school B

Question 8

A shopkeeper sells 360 apples at 13.5% profit and sells 120 banana at Rs. 130 loss and overall he gets 8.5% profit. Find the CP of one banana .

Question 9

450 litres of a mixture of milk and water contain the milk and the water in the ratio 9 : 1. How much water should be added to get a new mixture containing milk and water in the ratio of 3 : 1?

Question 10

A butler stole wine from a butt of sherry which contained 80% of spirit and the replaced it by wine containing only 32% spirit. Then, the butt was of 48% strength only. How much of the butt did  he steal?
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Jan 31AE & JE Exams